10-26 Exercise 3: Find roots of a quadratic equation

Question

Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i

Comments

We will continue this question in few days

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Everything is fixed. Enjoy your time with The Judge :)

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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

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Your code has newline at the end sometime. You learned this lesson many times!

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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.

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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge

Answer 1

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Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

Answer 2

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{
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}

Comments

prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 3

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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

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{

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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 5

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 6

Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
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}

Comments

prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'

Answer 7

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
*    ** *      *     *****  * *  a, b, c, D, spD, x1, x2;
    
   *  ** *  **  *    *     **  *** * **** * %lf %lf", &a, &b ,&c)==3)
    {
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 ***  *  **** **** * ** **     **   * *  ***  **  *** ** 
** * * *  *** *  *** ***********  *****     **   ** **   ****    **    *
* *   * *    *****  *    * *    ** * * *** * * ****
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 * * * * * *    **** *** ***    ***  ** *  **  *  **   * *** * *   *  *** *****  * * (-b+spD)/(2*a);
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* ***     * *  ***       ***    ***   **  * ** ** * *  *  * * **  * *  ***  ** *
   *******   ****     ** * **** ** *** * **  ** **   
* *   *** *****  ** ******  ** *  *******    ******** *** if(D==0)
     *  *   **       *** *   * * ***      * * * **
***   *  *     * *   *** ********* ****** ** *******       *    ** *** **  **** **   (-b)/(2*a);
 * ***  **    * ** ****    * ** *  ***      *  *    ** *  * *   * **  *  ***** *   * 
*  **   ** **    * *   *  * **    *  **    * * *  * *  ** *   *  ** ** **  
*  * * *   * ** *******  ** ** * *    *  ***** * **  **  * *  ***  * *  ** *  ***** * *  * ** *** **  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
*  *     ******* *  * *** ***  **      * *    *** * *** * **  *** *  **     * 
***      ** *  * * ***   *    ***   *   * *   **  *  ** *  * ****    ***     * **
 **  * ***  ******    *     **   * ****** *** * ***   **** ***** ****  * * * *
  *  *  *** ** ** ****    **     *  **** **** * *   *** ** * *  **  *    *** * ***
 ** * ***** *****    * ***   * * **    ** * * *   *    **  *** *****   *       **  *    * *   * **  *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
* **  **  *******   ***   *  *   ********** * * **  *     **    *   ****  * ** **** *
   ** *   ****  *  ****   **** *   *** * ****     
*   *    *  *  ***   ***  **      **  *   ***  *  *** ***  ** if(D<0)
**** *  *  * **      ****  ***** ****   *  ***  ****       
*** *  **  *   ***    **  * ***  **   **  * ** *    ***    ** *** * *** (-b)/(2*a);
     * *     *  * * **   *   * ** ** **  * * *** ***  ** ** *  **** *  * *** ***  -x1;
 *** **** * **  *  ****** ** * *** *    *      ** **  * * **** **  *****   ** ** **       of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
* * *   *  * *      **   **   *    ***   ****** *** **  
 ** **  *  * * **   *     *
    
 ****** * * ** * **** * * *  * *   * ***** *  *    
  * * * ** **** ***** * ** * * 0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 8

Hidden content!
  *  ** *** **** 
  *  ** *  ** ****  **
 *  * ***  *  *  ***
int  ***** *
** **    * ** ****   **  **   * a, b, c, D, spD, x1, x2;
*    * * *   * *    ** ***  *
***  *** ***  ***** * *   ***  * * *  **** %lf *****   *      &b  *    * 
** * *     {
**  *** ****  ***  * ** *   *    ** *****     **** *** * **  * - (4*a*c);
* ******  * * *  ** ****** * *  ****   **      * * 
 ** ***          *  ****  **
*  *       {
* **   *** **** *** * **   *** * *  *    * *****      *   *****      **** **
  ***    * * *** **** ***  ** * **  *** * *   *  * ** ***  * **     x1= ***     
     **    * ** *   **  *  * * *** *  ** * * * * * *    **  **     x2= ** * *   
***  *  *   *  * *    * ***** ** *  * ** *** *** *    ***** **   if (x1==x2){
  *** **  ** *  * **  *     * *   *  **  * **   *   ****  *  *       **  *** ****  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = * * * ******        *
* ** ***  * *      ****     ** * * ****   ** ** *    ** ** * * *   ***  *  *** * ** ***
** **  * * ** * *   ** * *   * * ***   *   *** * ***   *  *  *       else {
    * *     ** *   *** * **  *** * ** * *   **  ** *  * * **  *  *  **  ** *****     ******  ** * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and     *    = %.2lf\nx2 =   **  * *  *** *   *  *
  *  ****** *** ***  **  ****    * *  **    ** ********* ***  ** **  }
**** *****  **   *  * *  *  *** *     * ** **  ***
  * **  * **  ***    **  * ** * **      * *   **  * *** **  * if(D==0)
        * *  * * * *** *    {
 ***  **    *  *  *    * **  *  * * **** **  **         * **   ***    *  *  * *  *    *** *  * ** 
*  **** ** *  *  **** * * * *   ****  *  ***   *   **  ** *******  ** *     * * ** ***  * *
 *****   *** * *       {
   *** *** *  ** * *  ****   *  ***  * ** * *      ** * ****  * **** ***** ****  * ** *  ****  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =    *  *  *  * *    
    *   **   * *   ***  *  * * * ** *  **  ** *  **  * *    **    **  ***    * *  
     *  *     ** ***   * ****  ****** ** *  ***    ****** *    ** ** * *    ****   *   * 
*****   * *****   * *** *  * **  *  ****   **     * ***** *  **  ****     *  *** ***   *
 *****           {
**   **** * *   * *      * *** *      *   *   * **  * ****  ********    *** **  *  * * *** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = *  ** **   ******  **
  * ** *         *  * ***   *****  ** ****** *   *****  * *  *** * *
   ******     *** * *****   *  * ** **  ***   ** *** **
 *** ** * *** *         *** *  * *    ****** *   ***  * **   * *  
 *           *    
            x1= *****
** *   **      * **  *     * *    ** * * x2= -x1;
  ****     **** * **   ** *    * *  *  *  *** ***     *** ** **  *******  *    *     *  ***** * of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and  ** *** = * ** * *  * =    * *  *** * * **  ****  ** * *
 *  **** * * **  ****   *** **  *         ** * ** ** 
  *****   ** *    *   * 
**  * * ** *** * * ****
*****  **   **  ** ***** ***   * ** *    *   
       * ** *   * *  ***   ** *   0;
}

Comments

/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 9

Hidden content!
 * * ** *  * * ** **
   *    *  * ***    *** 
int main(){
***   *   *        ***  *  * ** a,b,c;
 **** ******* * *    *  ***   D;
**  ***  *  **  * * *    **   ** **   * * %lf  * * * **  **** ****** **  **
 * *     **   **  *    **   *  ** - 4*a*c ;

 *  ** ** ******  **** *  * * ** * ****  of %.2fx^2 + %.2fx + %.2f = 0 *  * ** ** 

** *   *  ***  *  * *    **  *    *    
* * * * *  *** * **** ** ***  **      *   *   *    **** complex and  *** * ******  
 * *** ********   *  * *  * **   *  **  ** *  ****  * *  *******  =   *   *   * **   (-b) / (2*a) ), sqrt(-D) / (2*a) );
  ** ** *  **   **       **         *   **   *  ** ** *   ***** **    * * = * ***   ** * *** (-b) / (2*a) ), sqrt(-D) / (2*a) );
**** *   *****  *  *  * 
  * *      ** ******* * ** ** if(D==0){
 * *** *   ** * * ** *   *   * ** **** ***  *    * * *  ** * ** *   *  ***** real and same\n");
** **   ****  *  ***  *      *   * * ** *  ***  ***   *   *  *** *  = x2 = %.2f",( (-b) / (2*a) ) );
* *** * * *   ** * *  ***** 
 *  ***  *  *   * **** ** ***    *  * **   
 *  ****  *  ***  ****   ****    ***  ***  **       **  **  *  real and ** *** ** * * *   
 *   *** **   * **** ** *  *  *** * * *** **  *     * *   * **   * * * = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
  * * *     **    * ****  *********  * ****  *  * * ** * **  * = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
 * **      *** * *****

   *  *  **** ** *   * * *** ** 0;
}

Comments

/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 10

Hidden content!
#include  ****** **
#include <math.h>
int main()
{
 **    *  * *  ** * *** *    a,b,c,x,y,d;
* *   *  ****    **       ***  **** %f *** ** *** **  **  *     * **
 *      * ** * ***      *  *****  **
** *** * ****            **   ***** *    *
   *     ****   * **   **** * * **  **   * **
*  ****    ** * ** *  ***  *  (d>0){
 * *  *   ** **** *   **  **  ** ****       of %.2fx^2 + %.2fx + %.2f = 0 are real and *   * * * ** *     
   ***** *   *    **  * **** **** **  ***  = %.2f\nx2 = %.2f",x,y);
 *** **  ** ** *   *  *
***   ***** * * *** * **  * *  if (d==0){
* *      ** ** *  *** ***     ***  ***   **  of %.2fx^2 + %.2fx + %.2f = 0 are real and **      * *  * * * 
*  *** * *  *   *** **  *  * * *** ***   = x2 = %.2f",x);
*** ** * *   ** ****** ***** 
           ***    *      *** * *
*** *** *  * ****    *  ** ***     *
* *****    ** *   ** ***    *  * ***  * of %.2fx^2 + %.2fx + %.2f = 0 are complex and    *      *** * ** *
  *  ** **** ** *   ** *****    *  
* * * *  ******* ***   *   *     **    = * *** * ****  *****
**   ***** *** *  *   * * * *** * *   ** * ** = ** * * * *    *    ****
    *   ** **  **   *   * *  

* ****** *******  *  ******* 0;
}

Comments

/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output